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  1. 1up added a post in a topic Hats on a death row!! One of my favorites puzzles!   

    I might be going out on a limb here, but the best solution would be for the group to decide that the person beeing asked about the colour of his/her hat to simply state the colour of the hat of the person in front. Then there's no need to determine odd or even number of hats in front. The life of the first guy, assuming the king does not have 10 hats of each colour, is still a coin toss however. The solution also assumes that all hats in front are visible.
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